r A manufacturing plant uses 2.22 kWof electric power provided by a 60.0-Hz ac generator with an rmsvoltage of 485 V. The plant uses this power to run a number ofhigh-inductance electric motors. The plant’s total resistance isR = 25.0 Ω and its inductive reactance is XL = 45.0 Ω. (a) What isthe total impedance of the plant? (b) What is the plant’s power factor? (c) What is the rms current used by the plant? (d) What capacitance, connected in series with the power line, will increase theplant’s power factor to unity? (e) If the power factor is unity, howmuch current is needed to provide the 2.22 kW of power neededby the plant? Compare your answer with the current found in part(c). (Because power-line losses are proportional to the square of thecurrent, a utility company will charge an industrial user with a lowpower factor a higher rate per kWh than a company with a powerfactor close to unity
r A manufacturing plant uses 2.22 kW
of electric power provided by a 60.0-Hz ac generator with an rms
voltage of 485 V. The plant uses this power to run a number of
high-inductance electric motors. The plant’s total resistance is
R = 25.0 Ω and its inductive reactance is XL = 45.0 Ω. (a) What is
the total impedance of the plant? (b) What is the plant’s power factor? (c) What is the rms current used by the plant? (d) What capacitance, connected in series with the power line, will increase the
plant’s power factor to unity? (e) If the power factor is unity, how
much current is needed to provide the 2.22 kW of power needed
by the plant? Compare your answer with the current found in part
(c). (Because power-line losses are proportional to the square of the
current, a utility company will charge an industrial user with a low
power factor a higher rate per kWh than a company with a power
factor close to unity
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